Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
606 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19135580 | C2 | semidirect |
| 5. C2×#14582637 | C2 | semidirect |
| 6. #19132475 | C2 | semidirect |
| 7. C43×#1282 | C2 | semidirect |
| 12. #14583218 | C4 | semidirect |
| 15. #14583040 | C4 | semidirect |
| 31. C22×Dic86 | C2×C4 | semidirect |
| 48. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 77. C22⋊C8×C43 | C2×C4 | semidirect |
| 122. C22⋊C4×C43 | SD16 | semidirect |
| 247. #1282 | D43 | semidirect |
| 281. C43 | #9275 | semidirect |
| 322. C22⋊C8 | C4×D43 | semidirect |
| 391. C22⋊C4 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145353 | 2 |
| #19137645 | 2 |
| #19135580 | 2 |
| #19133164 | 2 |
| C2×#14582637 | 2 |
| #19132475 | 2 |
| C43×#1282 | 2 |
| #9275 | 43 |